An Analytical Solution of Dynamic Vibration Absorber to Suppress the Vibration of a Pendulum Structure Subjected to Moving Loads Caused by A Hanging Point
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Abstract
In reality, there are many real structures are shaped like a pendulum structure, such as ropeway carriers, cranes, balloon baskets, boats, etc. These pendulum structures are often hung on moving points such as cable, balloons, water surface, etc. It is this movement of this hanging point that generates an inertial force acting on the pendulum structure and produces vibrations. Therefore, this study proposes a new approach, in which a pendulum structure installs a dynamic vibration absorber (DVA) subjected to moving loads caused by a hanging point. The new studies are performed as follows: In the first step, the differential equations of motions for the pendulum structure and DVA are established, this is an extremely important step for designing the DVA's optimum parameters to suppress vibration of the pendulum structure. In the next step, the minimum quadratic torque method is used to determine the DVA's optimum parameters. The DVA's optimum parameters are obtained explicit analytical solutions. In order for the scientist can advantage to find the DVA's optimum parameters to suppress vibration of the pendulum structure. The last step, the vibrations of the system are simulated by using Maple software in order to evaluate the effect of reducing vibration for the pendulum structure. Simulation results show that the vibration of the pendulum structure is efficient suppression by using optimum parameters of the DVA.
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